What is the magnetic field inside the hollow region

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Reference no: EM131639583

Q1) A circular wire of radius a carries current in the z^{^}. The current density is J^→ = J₀z^{^} everywhere except in a circular hole radius a/2 which runs the length of the wire and is centered a distance a/2 away from the center axis of the wire. What is the magnetic field inside the hollow region?

Q2) Find the total power delivered to the following circuit:

Q3) A two terminal "Black Box" is known to contain one lossless inductor, L, one lossless capacitor, C, and a resistor, R. When a 1.5V DC battery is connected, a current of 1.5mA flows. When an AC voltage of V_RMS = 1.0V @60Hz is connected, a current of I_RMS = 10mA flows. As the frequency is increase (while the applied voltage is held constant) the current is found to go through a maximum exceeding 100A at f = 1kHz.

a. What is the circuit inside to box?

b. What are the values of R, L, and C?

Q4) On an Optical bench, an |f₁| = 1m convex lens sits at the zero mark. An |f₂| = 2m concave lens is placed at the 10m, and an |f₃| = 5m concave mirror sits at the 20m mark. If you were to place an object at the 5m mark and look through lens 1:

a. How many images would you see?

b. What is the apparent location, orientation, and magnification of each image?

Q5) A Resistor, R is connected in series to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, ε. At time, t = 0, the switch is closed, and current begins to flow.

a. At what value of R (as a function of L and C) does the system behavior change?

b. There are three regimes in which this system operates (underdamped, overdamped, and critically damped). Find the current as a function of time, I(t), for each case.

c. In the underdamped case, how long will it take the current to reach half its initial value?

Reference no: EM131639583

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